# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))))=>(s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))))),file('i/f/logroot/LOG__EQ__0', ch4s_logroots_LOGu_u_EQu_u_0)).
fof(7, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/logroot/LOG__EQ__0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(29, axiom,![X18]:![X19]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X18))),file('i/f/logroot/LOG__EQ__0', ah4s_arithmetics_LESSu_u_EQ)).
fof(30, axiom,![X18]:![X19]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))))),file('i/f/logroot/LOG__EQ__0', ah4s_arithmetics_NOTu_u_LESS)).
fof(32, axiom,![X18]:![X19]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))|s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,X18))),file('i/f/logroot/LOG__EQ__0', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(34, axiom,![X18]:(~(s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18))))),file('i/f/logroot/LOG__EQ__0', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(35, axiom,![X18]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/logroot/LOG__EQ__0', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(36, axiom,![X18]:![X19]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X19))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X18)))))),file('i/f/logroot/LOG__EQ__0', ah4s_arithmetics_LTu_u_MULTu_u_CANCELu_u_LBAREu_c1)).
fof(38, axiom,![X18]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/logroot/LOG__EQ__0', ah4s_numerals_numeralu_u_distribu_c27)).
fof(39, axiom,![X18]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18)))),file('i/f/logroot/LOG__EQ__0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(44, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/logroot/LOG__EQ__0', ah4s_arithmetics_ONE)).
fof(47, axiom,![X18]:![X2]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18)))))=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X18))))),s(t_h4s_nums_num,X18))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X18)))))))))))),file('i/f/logroot/LOG__EQ__0', ah4s_logroots_LOG0)).
fof(52, axiom,![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X2))))=>s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))),file('i/f/logroot/LOG__EQ__0', ah4s_logroots_LOGu_u_BASE)).
fof(53, axiom,![X13]:![X18]:![X2]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,X18))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))))))))=>s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,X13)),file('i/f/logroot/LOG__EQ__0', ah4s_logroots_LOGu_u_UNIQUE)).
fof(56, axiom,![X19]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/logroot/LOG__EQ__0', ah4s_arithmetics_EXP0u_c0)).
fof(57, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,X18),file('i/f/logroot/LOG__EQ__0', ah4s_arithmetics_EXPu_u_1u_c1)).
fof(63, axiom,![X18]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/logroot/LOG__EQ__0', ah4s_numerals_numeralu_u_lteu_c1)).
fof(64, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/logroot/LOG__EQ__0', ah4s_numerals_numeralu_u_sucu_c0)).
# SZS output end CNFRefutation
